Mercator's comma
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-08-28 01:00:33 UTC.
- The original revision id was 248862749.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
|-84 53>, known as Mercator's comma or the 53-comma, is a small comma of 3.615 cents which is the amount by which 53 fifths exceed 31 octaves, in other words (3/2)^53/2^31. For equal divisions N up to 8745, the comma is tempered out if and only if 53 divides N. Examples of such EDOs include [[53edo]], [[159edo]], [[212edo]], [[265edo]], [[742edo]], [[954edo]] and [[1749edo]]. The comma is named for [[http://en.wikipedia.org/wiki/Nicholas_Mercator|Nicholas Mercator]], who first took note of it as a part of his study of [[53edo]].
Original HTML content:
<html><head><title>Mercator's comma</title></head><body>|-84 53>, known as Mercator's comma or the 53-comma, is a small comma of 3.615 cents which is the amount by which 53 fifths exceed 31 octaves, in other words (3/2)^53/2^31. For equal divisions N up to 8745, the comma is tempered out if and only if 53 divides N. Examples of such EDOs include <a class="wiki_link" href="/53edo">53edo</a>, <a class="wiki_link" href="/159edo">159edo</a>, <a class="wiki_link" href="/212edo">212edo</a>, <a class="wiki_link" href="/265edo">265edo</a>, <a class="wiki_link" href="/742edo">742edo</a>, <a class="wiki_link" href="/954edo">954edo</a> and <a class="wiki_link" href="/1749edo">1749edo</a>.<br /> <br /> The comma is named for <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Nicholas_Mercator" rel="nofollow">Nicholas Mercator</a>, who first took note of it as a part of his study of <a class="wiki_link" href="/53edo">53edo</a>.</body></html>